Question

Solve the problem and then click on the correct graph.

y ≤ |x|

Answer 1

First picture

Explanation:

The y-value is the shaded part, which represent the "lesser than or equal to".

The absolute x or |x| is = -x or x. That is why two lines spread apart. The no-shaded part presents the absolute x.

Answer 2

1st one.

Explanation:

The line

For it is lesser than or equal to, then the line is made up of a continuous trace, in this case (red line). All the values that satisfy this function, for y whose absolute value is lesser than or equal to x are in this shaded region.

As we are talking of absolute value, of y≤ -x or y≥x then the line goes to left and to the right. And the parameter "b" is equal to 0, the graph goes through the origin. (0,0)

The Shaded region

As it is lesser than or equal to it is shaded down.

Examples below of points ∈ to this function:

`(1,-1)\Rightarrow y\leq |x|\Rightarrow y\leq|-1|\Rightarrow y\leq 1\Rightarrow -1\leq1\\(2,-1)\Rightarrow y\leq |x|\Rightarrow y\leq|2|\Rightarrow y\leq 2\Rightarrow -1\leq2\\(2,1)\Rightarrow y\leq |x|\Rightarrow y\leq|2|\Rightarrow y\leq 2\Rightarrow 1\leq2\\`